1. **Problem Statement:** Solve for $x$ in the equation $8x + 4 = 3(x - 1) + 7$. 2. **Formula and Rules:** To solve linear equations, we use the rule of balancing both sides by performing the same operation on each side. 3. **Step-by-step Solution:** - Expand the right side: $3(x - 1) + 7 = 3x - 3 + 7 = 3x + 4$ - Rewrite the equation: $8x + 4 = 3x + 4$ - Subtract 3x from both sides: $8x - 3x + 4 = 4$ - Simplify: $5x + 4 = 4$ - Subtract 4 from both sides: $5x = 0$ - Divide both sides by 5: $x = 0$ 4. **Answer:** The value of $x$ is $0$. This matches option (c) in the question.